On Quadrirational Yang-Baxter Maps

We use the classification of the quadrirational maps given by Adler, Bobenko and Suris to describe when such maps satisfy the Yang-Baxter relation. We show that the corresponding maps can be characterized by certain singularity invariance condition. This leads to some new families of Yang-Baxter map...

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Bibliographic Details
Date:2010
Main Authors: Papageorgiou, V.G., Suris, Yu.B., Tongas, A.G., Veselov, A.P.
Format: Article
Language:English
Published: Інститут математики НАН України 2010
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/146351
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On Quadrirational Yang-Baxter Maps / V.G. Papageorgiou, Yu.B. Suris, A.G. Tongas, A.P. Veselov // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 9 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine